Email this article On the rate of convergence to the Bose–Einstein distribution
- Authors: Maslov V.P.1,2, Nazaikinskii V.E.2,3
-
Affiliations:
- National Research University Higher School of Economics
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 99, No 1-2 (2016)
- Pages: 95-109
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/149064
- DOI: https://doi.org/10.1134/S0001434616010107
- ID: 149064
Cite item
Open Access
Access granted
Subscription Access
Abstract
For a system of identical Bose particles sitting at integer energy levels with the probabilities of microstates given by a multiplicative measure with ≥ 2 degrees of freedom, we estimate the probability of the sequence of occupation numbers to be close to the Bose–Einstein distribution as the total energy tends to infinity. We show that a convergence result earlier proved by A.M. Vershik [Functional Anal. Appl. 30 (2), 95–105 (1996)] is a corollary of our theorems.
About the authors
V. P. Maslov
National Research University Higher School of Economics; Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: v.p.maslov@mail.ru
Russian Federation, Moscow; Moscow
V. E. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: nazaikinskii@yandex.ru
Russian Federation, Moscow; Moscow
Supplementary files
